Summary
We give a version of the classical Invariance of Domain Theorem for nonlinear Fredholm maps of index zero between Banach spaces (and Banach manifolds). The proof is based on a finite dimensional reduction technique combined with a mod 2 degree argument for continuous maps between (finite dimensional) differentiable manifolds.
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Dedicated to Alfonso Vignoli on the ocassion of his 60th birthday
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Benevieri, P., Furi, M., Pera, M.P. (2000). The Invariance of Domain forC 1Fredholm Maps of Index Zero. In: Appell, J. (eds) Recent Trends in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 40. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8411-2_4
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DOI: https://doi.org/10.1007/978-3-0348-8411-2_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9556-9
Online ISBN: 978-3-0348-8411-2
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